報告題目：Discontinuous Galerkin method for a distributed optimal control problems of time fractional diffusion equation
報 告 人：謝小平 教授 四川大學伟德线上平台
報告時間：2020年8月5日 10:00-11:00
報告地點：騰訊會議 ID：206 240 120
會議鍊接：https://meeting.tencent.com/s/jBoSx9wOk34B
校内聯系人：陶詹晶 zjtao@jlu.edu.cn
報告摘要：
This talk is devoted to the numerical analysis of a control constrained distributed optimal control problem subject to a time fractional diffusion equation with non-smooth initial data. The solutions of the state and co-state are decomposed into singular and regular parts, and some growth estimates are obtained for the singular parts. Following the variational discretization concept, a full discretization is applied to the state and co-state equations by using conforming linear finite element method in space and piecewise constant discontinuous Galerkin method in time. Error estimates are derived by employing the growth estimates. In particular, graded temporal grids are adopted to obtain the first-order temporal accuracy. Finally, numerical experiments are provided to verify the theoretical results.
報告人簡介：
謝小平，四川大學伟德线上平台教授（博導），四川省學術和技術帶頭人，教育部新世紀優秀人才，德國洪堡學者。現兼任中國工業與應用數學學會油水資源數值方法專業委員會副主任委員，中國工業與應用數學學會高性能計算與數學軟件專業委員會委員，中國仿真學會集成微系統建模與仿真專業委員會委員。期刊《Numerical Analysis and Applicable Mathematics》、《計算數學》和《高等學校計算數學學報》編委。主要研究領域為偏微分方程數值解、有限元法的理論及應用等。
